Weighted projective plane of 16th order and totally symetrical (2,16-1): Multiquasi group
نویسندگان
چکیده
منابع مشابه
Additively Weighted Voronoi Diagram on the Oriented Projective Plane Additively Weighted Voronoi Diagram on the Oriented Projective Plane
We consider Voronoi diagrams deened on the oriented projective plane T 2. In this geometry, the closest and furthest site diagrams are antipodal. We give a simple on-line incremental algorithm for constructing the additively weighted diagram. This diagram, which may be disconnected in Euclidean plane, is always connected in T 2 and has exactly 3n ? 6 edges and 2n ? 4 vertices, where n is the nu...
متن کاملAdditively Weighted Voronoi Diagram on the Oriented Projective Plane
We give a new simple on-line incremental algorithm for the additively weighted Voronoi diagram, whose primitive operations are completely based on orientation tests. It is known that the closest site diagram can be disconnected, and that the furthest site diagram can have disconnected faces. The algorithm avoids such nuisances by using the oriented projective plane as an underlying geometry. In...
متن کاملOn the Existence of a Projective Plane of Order 10
If a projective plane of order 10 exists, let M denote the (111,56) binary error-correcting code generated by the rows of the incidence matrix. It is known that the weight distribution of this code is uniquely determined by the number of codewords of weights 12, 15 and 16. It is the object of this paper to report that the number of codewords of weight 15 is zero, thus reducing the number of unk...
متن کاملThe Search for a Finite Projective Plane of Order 10
When I was a graduate student looking for a thesis topic, Herbert Ryser advised me not to work on the projective plane of order 10. Even though he was extremely interested in this subject, he believed that it was too difficult and that I might get nowhere with it. I took his advice and chose another problem. Somehow, this problem has a beauty that fascinates me as well as many other mathematici...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Zbornik radova Uciteljskog fakulteta Prizren-Leposavic
سال: 2015
ISSN: 1452-9343
DOI: 10.5937/zrufpl1509195m